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4 years ago

Number two anyone..?

Mathematics

1 answer:

sergey [27]4 years ago

3 0

The equivalent expression is option A) 12(l+2a)

Step-by-step explanation:

The expression for total cost = 12l+24a
Taking 12 as common from all the terms in the expression,

we get, 12 (l+2a)

Therefore, The equivalent expression of 12l+24a is 12(l+2a).

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What is the length of the hypotenuse of a right triangle with legs of length 6 and 4 ?

liberstina [14]

Answer:

6²+4²=h²

36+16=h²

$\sqrt{52} = h \: \: \: \: \: \\ hyphotenuse \: is \: 2 \sqrt{13 \:} \\ or \: 7.2111$

6 0

4 years ago

Construct a 99% confidence interval for the population mean, mu. Assume the population has a normal distribution. A group of 1

Zarrin [17]

Answer:

99% confidence interval for the population mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean age of selected students = 22.4 years

s = sample standard deviation = 3.8 years

n = sample of students = 19

$\mu$ = population mean

Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.

So, 99% confidence interval for the population mean, $\mu$ is ;

P(-2.878 < $t_1_8$ < 2.878) = 0.99 {As the critical value of t at 18 degree of

freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.878) = 0.99

P( $-2.878 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.878 \times {\frac{s}{\sqrt{n} } }$ ) = 0.99

P( $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

99% confidence interval for $\mu$ = [ $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ]

= [ $22.4 -2.878 \times {\frac{3.8}{\sqrt{19} }$ , $22.4 +2.878 \times {\frac{3.8}{\sqrt{19} }$ ]

= [19.891 , 24.909]

Therefore, 99% confidence interval for the population mean is [19.891 , 24.909].

6 0

3 years ago

What is the answer -8 + 3 + -8 – -3

Sophie [7]

-8+3+-8--3
minusing a negativ means adding a positive
adding a negaative means minusing a positive
-8+3-8+3
-5-8+3
-13+3
-10

6 0

3 years ago

Read 2 more answers

PLEASE HELP I WILL MARK THE BRAINLIEST

-BARSIC- [3]

Given: lines l and m are parallel, and line t is a transversal.

angle pair result/justification

1 and 2 are equal (vertical angles)

6 and 8 are equal (corresponding angles)

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Note:

alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.

If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)

If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)

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3 years ago

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Find the area of each.

Makovka662 [10]

Answer:

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7 0

3 years ago